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Finding the Fourth Proportional to 10,582.76, 15,873.03 and 4,343.43

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Solution

The fourth proportional to 10,582.76, 15,873.03 and 4,343.43 is: 6,514.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.76 : 15,873.03 = 4,343.43 : x
  2. Step 2: Convert to fraction form
    10,582.76/15,873.03 = 4,343.43/x
  3. Step 3: Cross multiply
    10,582.76x = 15,873.03 × 4,343.43
  4. Step 4: Simplify right side
    10,582.76x = 68,943,454.22
  5. Step 5: Solve for x
    x = 68,943,454.22/10,582.76
  6. Step 6: Final answer
    x = 6,514.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.